From Drawing to Figure and Theories of Didactic Situations and Instrumentation

This research addresses the analysis of instrumental genesis process of displacement in the Cabri Gomtre II Plus Software which was implemented in classrooms from two different schools, in the course of eight sessions. Regarding Dynamic Geometry of such computational environment we have verified that the use of the displacement as an instrument could promote significant changes in geometry teaching and learning. In this context, we will go in search of possible contributions or changes the displacement could bring when used as an instrument in flat geometry teaching and learning process. In particular the construction of learning situations by using displacement of Cabri-gomtre computational environment regarding primitive properties of classical geometric objects (quadrilaterals, triangles, circles, etc. ) and the relationship among them. The work related to this communication was developed in collaboration with the Laboratory Leibniz and basic education schools, particularly in the transition from Elementary School I to Elementary School II, and has been an ally to the work of Mathematics teachers.